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Problems
Problem 3.1:
Write down the Gibbs sum. Be sure to get all of the indices correct.
[Solution]Problem 3.2:
Give the expression for the absolute probability that a system will be
found in the state with N1 particles and energy
[Solution] .
Problem 3.3:
Give an expression for the average value of a property A for a system
in diffusive and thermal contact with a "reservoir". A "reservoir" is a
huge system next to our smaller system with large energy and number of
particles.
[Solution]Problem 3.4:
Give an expression for the average number of particles in a system that
is in thermal and diffusive contact with a reservoir.
[Solution]Problem 3.5:
Suppose that we have a system that can be unoccupied or can have one
particle in a state with energy
[Solution] . Write the Gibbs sum
for this system.
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